{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5.2\n"
     ]
    }
   ],
   "source": [
    "import paddle\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(paddle.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x226d1f06c18>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#生成600个数据点\n",
    "data_points=np.linspace(0,60,600)\n",
    "#使用sin()函数生成数据集\n",
    "dataset=np.sin(data_points)\n",
    "plt.plot(dataset)#画出数据集的形状"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 100, 1)\n",
      "(5, 100, 1)\n"
     ]
    }
   ],
   "source": [
    "time_steps=100  #batch_size代表训练一次用多少数据\n",
    "input_size=1    #输入的维度\n",
    "\n",
    "#将数据转换成训练模型所需要的数据格式\n",
    "dataX, dataY=[],[]\n",
    "for i in range(500):\n",
    "    x=dataset[i]\n",
    "    y=dataset[i+1]\n",
    "    dataX.append(x)\n",
    "    dataY.append(y)\n",
    "dataX,dataY=np.array(dataX),np.array(dataY)\n",
    "dataX=np.reshape(dataX,(-1,time_steps,input_size))   #得到输入数据集\n",
    "dataY=np.reshape(dataY,(-1,time_steps,input_size))   #得到目标数据集\n",
    "\n",
    "#查看数据集形状\n",
    "print(dataX.shape)\n",
    "print(dataY.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataX=paddle.to_tensor(dataX,dtype='float32')\n",
    "dataY=paddle.to_tensor(dataY,dtype='float32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "class rnn(paddle.nn.Layer):\n",
    "    def __init__(self):\n",
    "        super(rnn,self).__init__()\n",
    "        #定义SimpleRNN,输入维度为1，隐藏层具有128个神经元，网络层数为2，激活函数为ReLU()函数\n",
    "        self.rnn=paddle.nn.SimpleRNN(1,128,2,activation=\"relu\")\n",
    "        #定义全连接层,输入维度为128，输出维度为1\n",
    "        self.fc=paddle.nn.Linear(in_features=128,out_features=1)\n",
    "    def forward(self,x):\n",
    "        x,h=self.rnn(x)\n",
    "        x=self.fc(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x226d298db00>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#获取循环神经网络\n",
    "model=rnn()\n",
    "#输入数据并获得输出结果\n",
    "out=model(dataX)\n",
    "#将输出结果转换为一维数据并绘制出对应图形\n",
    "data=np.reshape(out,(-1,))\n",
    "plt.plot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#定义迭代次数\n",
    "n_iterations=600\n",
    "#定义学习率\n",
    "learning_rate=0.0001\n",
    "#获取循环神经网络\n",
    "model=rnn()\n",
    "#设置优化器、学习率，并将模型参数提供给优化器\n",
    "opt=paddle.optimizer.Adam(learning_rate=learning_rate,parameters=model.parameters())\n",
    "#设置损失函数为均方误差函数\n",
    "mse_loss=paddle.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00137836)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00100781)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "299 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00070522)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "399 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00047385)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "499 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00032109)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "599 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00021761)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for iteration in range(n_iterations):\n",
    "    #获取批数据\n",
    "    X_batch,Y_batch=dataX,dataY\n",
    "    #将数据输入至模型，得到输出预测结果\n",
    "    out=model(X_batch)\n",
    "    #计算均方误差\n",
    "    avg_loss=mse_loss(out,Y_batch)\n",
    "    #根据误差优化模型参数\n",
    "    avg_loss.backward()\n",
    "    opt.step()\n",
    "    opt.clear_grad()\n",
    "    if(iteration+1)%100 == 0:    #每迭代100次输出预测结果，查看训练情况\n",
    "        #查看均方误差值\n",
    "        print(iteration,\"\\t MSE\",avg_loss)\n",
    "        #将预测结果展开成一维的\n",
    "        prediction=np.reshape(out,(-1,))\n",
    "        #根据拟合情况画图\n",
    "        plt.plot(prediction)\n",
    "        plt.title('After{}training,fitting result'.format(iteration))\n",
    "        plt.show()\n",
    "        \n",
    "        #对数据进行预测\n",
    "        num_batches=X_batch.shape[0]\n",
    "        sequence=X_batch[num_batches-1,:,0].numpy().tolist()   #取最后一个批次的数据并转换为列表\n",
    "        \n",
    "        prediction_iter=100    #想要预测的长度\n",
    "        for iteration in range(prediction_iter):\n",
    "            x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)    #输入值\n",
    "            x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "            y_pred=model(x_batch)    #预测值\n",
    "            #取出输出结果的最后一个值（下一时间步的数值）并将其加入列表\n",
    "            sequence.append(y_pred.numpy()[0,-1,0])\n",
    "            \n",
    "        #根据预测情况画图\n",
    "        plt.plot(sequence[-prediction_iter:])\n",
    "        plt.title('prediction' .format(iteration))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "#保存模型\n",
    "paddle.save(model.state_dict(),'rnn.pdparams')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#定义预测过程\n",
    "model=rnn()\n",
    "#加载模型参数\n",
    "params_file_path='rnn.pdparams'\n",
    "param_dict=paddle.load(params_file_path)\n",
    "model.load_dict(param_dict)\n",
    "#对数据进行预测\n",
    "num_batches=dataX.shape[0]\n",
    "sequence=dataX[num_batches-1,:,0].numpy().tolist()  #取最后一个批次的数据并转换为列表\n",
    "prediction_iter=500  #想要预测的长度\n",
    "for iteration in range(prediction_iter):\n",
    "    x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1) #输入值\n",
    "    x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "    y_pred=model(x_batch)  #预测值\n",
    "    #取出输出结果的最后一个值（下一时间步的数值）并将其加入列表\n",
    "    sequence.append(y_pred.numpy()[0,-1,0])\n",
    "#根据预测情况画图\n",
    "plt.plot(sequence[-prediction_iter:])\n",
    "plt.title('预测结果' .format(iteration))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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